It is possible that president Obama does believe in some abstract God as in the AA version of a God or a Moslem version.
What he doesn't believe in is the Judeo Christian God of the Torah. I contrast president Obama to president Jimmy Carter. Carter was a Christian who regularly read the Bible. When it finally sunk in with Jimmy Carter that the God of the Torah punished the enemies of the Jews, Carter wrote a public apology to all Jews for his past behavior in mistreating Israel. I know this was an apology before God because Carter did it in a letter to the Jewish Telegraphic Agency, the AP of Jewish news.
President Obama has been one of the strongest enemies of the Jews since the presidency of Jimmy Carter. He gave his first middle East speech outlining a history that was completely false regarding Israel. He demanded that Israel stop building homes in Jerusalem, the city founded by the biblical King David. He demanded that Palestinian-Israeli negotiations be based on 1967 boundaries. That boundary did not include the main part of Jerusalem and was completely indefensible by an Israel that needed to survive against hostile Palestinians. Over a total misunderstanding of a trivial issue he excoriated one of the greatest leaders of Israel for 45 minutes. Most recently he claimed to be the best informed president on Jewish history ignoring the fact that Madison and Adams could both read Hebrew and nearly every other president read Torah daily.
This is a man who will be punished by the God of the Torah. It should be obvious to him if he paid any attention to what Jewish and Christian tradition teaches. But he doesn't because he doesn't believe in the God of Jews and Christians.